Question

A shopkeeper with a basket of apple finds that if he sells 3 apples at a time there is only one apple left if he sells four apple at a time there is again 1 apple left however if the trader sells 7 apple is at a time there is no apple left is the capacity of the basket is 108 apples then find how many days are there in the basket explain with reasoning. ​

Answer 1

Hey there!

The trader has one apple left in both cases let him sell 3 apples or 4 apples. Thus, we can say that the number of apples is = [A multiple of (3 x 4)] + 1

                                                                             = [A multiple of 12 ] + 1

                                                                             = 13, 25, 37 ,49, etc.

According to second condition, the number of apple is a multiple of 7!

The only number satisfying both conditions is 49.

Hence,the number of apples is 49

Hope this helps . please mark as brainliest!

Answer 2

Hello!!

$\Huge{\mathfrak{\underline{\underline{answer}}}}$

___________________________________

The trader has one apple left in both cases let him sell 3 apples or 4 apples. Thus, we can say that the number of apples is = [A multiple of (3 x 4)] + 1

                                                                             = [A multiple of 12 ] + 1

                                                                             = 13, 25, 37 ,49, etc.

According to second condition, the number of apple is a multiple of 7!

The only number satisfying both conditions is 49.

Hence,the number of apples is 49.

______________________________

Thanks!!!